Emergence of complete aggregation in the swarm double hyperbolic sphere model

报告题目：Emergence of complete aggregation in the swarm double hyperbolic sphere model

报告人： Chaejoo Lee     Seoul National University

报告时间：2026年4月27日上午11:20-12:00

报告地点：红瓦楼726

报告内容简介：We study the emergent collective dynamics of swarm particles on the double hyperbolic sphere. For this, we introduce the swarm double hyperbolic sphere (in short, SDHS) model which corresponds to the weak coupling of two swarm hyperbolic sphere models. For the proposed model, we present several analytical conditions on the structure of natural frequency matrices for complete aggregation in which all relative states tend to zero asymptotically. Moreover, we show that the SDHS model reduces to the swarm double hyperbolic Kuramoto model on the Cartesian product of one-dimensional hyperboloids. In this case, the SDHS model admits the pseudo-gradient flow formulation and together with uniform boundedness estimates, the SDHS flow tends to a unique equilibrium, and the flow is exponentially stable under a suitable set of conditions on initial data and coupling strengths.

报告人简介：Chaejoo Lee，首尔国立大学数学系博士，师从首尔国立大学数学系教授、韩国科学奖、青年科学奖、KSIAM-Kumkok奖的获得者、国际数学家大会45分钟报告人Seung-Yeal Ha。主要研究方向为双曲守恒律方程和动理学方程，以及多智能体系统的群体行为等。

报告邀请人：廖杰